Finding the Fourth Proportional to 2,019.86, 3,028.54 and 785.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.86 : 3,028.54 = 785.82 : x
2. Step 2: Convert to fraction form
   2,019.86/3,028.54 = 785.82/x
3. Step 3: Cross multiply
   2,019.86x = 3,028.54 × 785.82
4. Step 4: Simplify right side
   2,019.86x = 2,379,896.70
5. Step 5: Solve for x
   x = 2,379,896.70/2,019.86
6. Step 6: Final answer
   x = 1,178.25